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math.AP2012★ 5 cited
Finite difference schemes for the symmetric Keyfitz-Kranzer system
U. Koley, N. H. Risebro
We are concerned with the convergence of numerical schemes for the initial value problem associated to the Keyfitz-Kranzer system of equations. This system is a toy model for sever…
math.NA2012
Convergence of a fully discrete finite difference scheme for the Korteweg-de Vries equation
Helge Holden, Ujjwal Koley, Nils Henrik Risebro
We prove convergence of a fully discrete finite difference scheme for the Korteweg--de Vries equation. Both the decaying case on the full line and the periodic case are considered.…